There are 50 guests at a party and they are making groups for a game. To do this they each write their name on a piece of paper and put it into a hat. One by one, each guest picks a name from the hat. Each guest will be a part of a group with the guest they pulled the name out of from the hat. If a guest pulls out their own name, they are in a group all by themselves. If Guest A pulls out Guest B's name, Guest B pulls out Guest C's name, and Guest C pulls out Guest A's name, they are all a part of the same closed group and no one else will be able to join them. How many groups will there be on average? Round your answer to the nearest tenth.
